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Finding the Third Proportional to 287,481 and 604,752

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Solution

The third proportional to 287,481 and 604,752 is: 1,272,170.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,481 : 604,752 = 604,752 : x
  2. Step 2: Convert to fraction form
    287,481/604,752 = 604,752/x
  3. Step 3: Cross multiply
    287,481x = 604,752 × 604,752
  4. Step 4: Simplify right side
    287,481x = 365,724,981,504
  5. Step 5: Solve for x
    x = 365,724,981,504/287,481
  6. Step 6: Final answer
    x = 1,272,170.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.